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An open box is to be made from a square piece of cardboard whose sides are 14 incheslong, by cutting squares of equal size from

An open box is to be made from a square piece of cardboard whose sides are 14 incheslong, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum.

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